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Eduardo Arzate

12 years agoPosted 12 years ago. Direct link to Eduardo Arzate's post “Why is it 1 if the expone...”

Why is it 1 if the exponent is 0?

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(80 votes)

Milad Mehri

9 years agoPosted 9 years ago. Direct link to Milad Mehri's post “The zero exponent is equa...”

The zero exponent is equal to 1 to satisfy a certain case in manipulating bases with exponents. When multiplying or dividing the same base with exponents we add or subtract the exponents:

To find the value of (3^3)(3^2) [the short form of (3 X 3 X 3) X (3 X 3) or (27)(9)] we add exponents to get 3^(3+2) or 3^5 with a value of 243.

To find the value of (3^3)/(3^2)[the short form of (3X3X3)/(3X3) or 27/9] we subtract exponents to get 3^(3-2) or 3^1 with a value of 3.

Now let us consider the case in which the two exponents are the same:

To find the value of (3^3)/(3^3) [the short form of (3X3X3)/(3X3X3) or 27/27 we subtract exponents to get 3^(3-3) or 3^0 whose value must equal the value of 27/27, or 1. To make the equation true 3^0 must equal 1.

The general case is: (x^a)/(x^b)=x^(a-b). When b=a, by substitution, this becomes (x^a)/(x^a)=x^(a-a)=x^0. Now let’s consider it another way. On the left side of the equation we have a division of the same numerator and denominator, which has a value of 1 (anything divided by itself equals 1). On the right side we have x^0. To make the equation true x^0 must equal 1.

(9 votes)

alejandroperez17.cea

11 years agoPosted 11 years ago. Direct link to alejandroperez17.cea's post “is there a way that someo...”

is there a way that someone knows how to do this easier

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(7 votes)

samanozie

11 years agoPosted 11 years ago. Direct link to samanozie's post “woah that is a big questi...”

woah that is a big question. let me read it before i answer

Lindsey

11 years agoPosted 11 years ago. Direct link to Lindsey's post “lets say that my problem ...”

lets say that my problem is 6 to the 8th power. is there a quicker easier way than doing 6*6*6*6*6*6*6*6 but not memory?

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(8 votes)

Ohad

11 years agoPosted 11 years ago. Direct link to Ohad's post “Yes, there is.What is 6 ...”

Yes, there is.

What is 6 times 6? That's just 36, or 6^2.

36^4 is equal to 6^8.

Now, what is 36 times 36? That's 1296.

1296^2= 6^8

Now, we just have to multiply 1296 by itself.

The result is 1,679,616.(9 votes)

Bill Rough

11 years agoPosted 11 years ago. Direct link to Bill Rough's post “I'm just wondering about ...”

I'm just wondering about the phrasing of exponents. At :23 seconds in the video, the way it is phrased is that 6 is multiplied by itself 8 times. That does not seem quite correct to me. 6^8th power multiplies 6 by 6 only 7 times and once by 1 times. Just being a stickler for words and their meaning but am I missing something? In other words, we start 1x6 and then x6x6x6x6x6x6x6. In short, the first 6 is simply six by itself not times 6, but fine, times one. Does this make sense or no?

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(6 votes)

Sajiya70

8 years agoPosted 8 years ago. Direct link to Sajiya70's post “I was practicing some pro...”

I was practicing some problems about the

**Pythagorean Theorem**and started off with the basics.

I know how to solve this problem, but when I checked their method, they did a different kind of*simplification*that I didn't understand.I got to this point:

`((17^2) - (8^2))`

But, instead just simplifying the powers and subtracting directly, they did this:`((17^2) - (8^2)) = (17 + 8) * (17 - 8)`

I know that their way is also right because we both got the same answer of

**225**.All I want to know is how they got from this:

`((17^2) - (8^2))`

To this:`(17 + 8) * (17 - 8)`

Thanks so much for taking the time to read this, I*really*appreciate it!•

(4 votes)

Richard Liu

8 years agoPosted 8 years ago. Direct link to Richard Liu's post “Oh I get what you mean, i...”

Oh I get what you mean, it's something we call

**difference of squares**. Here's the fundamental principle used:

x^2 - y^2 = (x + y)(x - y)

In this case, x = 17 and y = 8, it's just something you can memorize to make life easier!

It's one of the multiple ways you can factor a quadratic, it's also very commonly seen.

Hope this helped :)

Happy holidays!!(4 votes)

lishaleo3

a year agoPosted a year ago. Direct link to lishaleo3's post “6^8 = 1679616. precisely ...”

6^8 = 1679616. precisely like wow that's huge!

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(5 votes)

Jude 1:24-25 😊📖

6 months agoPosted 6 months ago. Direct link to Jude 1:24-25 😊📖's post “Yeah, no kidding!”

Yeah, no kidding!

(1 vote)

Carla McConnell

12 years agoPosted 12 years ago. Direct link to Carla McConnell's post “At 0:16 why are there so ...”

At

0:16

why are there so many sixes? I'm confused.•

(1 vote)

aravind121

12 years agoPosted 12 years ago. Direct link to aravind121's post “Dear carla.Those 6.6.6 r...”

Dear carla.

Those 6.6.6 represents 6X6X6. (multiplication between two numbers can also be denoted with "." instead of "X"). Please watch the video to completely understand about exponents(7 votes)

nightfall

10 months agoPosted 10 months ago. Direct link to nightfall's post “OH I get it now!”

OH I get it now!

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(4 votes)

Allan Worrell

a year agoPosted a year ago. Direct link to Allan Worrell's post “How do you think about fr...”

How do you think about fractional or decimal exponents such as

2^0.3 ?•

(3 votes)

RumiWaffles

a year agoPosted a year ago. Direct link to RumiWaffles's post “You would convert it into...”

You would convert it into a fraction(0.3 = 3/10)

Then take the numerator and raise the base to it(2^3)

And you would square the value to the denominator10sqrt(2^3)

As you see its very complex and you'll learn this later on

(4 votes)

leo.lin.2022

7 years agoPosted 7 years ago. Direct link to leo.lin.2022's post “what is 0 to the 0th powe...”

what is 0 to the 0th power?

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(2 votes)

Shawn

7 years agoPosted 7 years ago. Direct link to Shawn's post “It is undefined. Why? Thi...”

It is undefined. Why? Think of it as a paradox:

When 0 is raised to any number, it is zero

When any number is raised to the power of 0, it is one

So when you put those two together, it just doesn't make sense

So that is why...

Hope this helps(3 votes)